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allsm [11]
3 years ago
15

Will decides to attend a basketball game with four friends. If the party of five sits together in five consecutive seats, and Wi

ll must NOT sit in between two of his friends, how many ways can the five friends be arranged?(A) 24(B) 36(C) 48(D) 72(E) 120
Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

Therefore, the correct option is (C) 48.

Step-by-step explanation:

Consider the provided information.

The party of five sits together in five consecutive seats, and Will must NOT sit in between two of his friends.

That means Will must sit on either ends of the people.

Case I:

If Will sit on extreme left.

W _ _ _ _

Thus, the number of ways are: 1×4×3×2×1=24

Case II:

If Will sit on extreme right.

_ _ _ _ W

Thus, the number of ways are: 4×3×2×1×1=24

Hence, the total number of ways are: 24+24=48.

Therefore, the correct option is (C) 48

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2. A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79. A function, f(x), is written to represe
kolbaska11 [484]

Answer:

B

Step-by-step explanation:

Let x be the number of packages of paper towels.

Each package of paper towels costs $2.79.

Then x packages of paper towels cost $2.79x.

Hence, a function f(x) is

f(x)=2.79x

Practically, you can buy 0 packages, 1 package, 2 packages and so on, only whole numbers of packages, so practical domain is all whole numbers.

4 0
3 years ago
Find the difference between (-11,-11) and (-12,-8) round answer to the nearest hundredth
lisov135 [29]

Answer:

Step-by-step explanation:

The two points can be made into a right triangle with the two sides defined by   two lines drawn from the two given points.  Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points.  See attached graph.

6^2 + 2^2 = x^2

36 + 4 = x^2

x^2 = 40

x = 6.32

3 0
3 years ago
Simplify the imaginary number sqr -75
m_a_m_a [10]

Answer:

5i\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

and \sqrt{-1} = i

Given

\sqrt{-75}

= \sqrt{25(3)(-1)}

= \sqrt{25}  × \sqrt{3} × \sqrt{-1}

= 5 × \sqrt{3} × i

= 5i\sqrt{3}

3 0
3 years ago
How do you find the linear regression equation?
konstantin123 [22]
You can a linear equation when the line go between the margin and when it have a straight line
8 0
3 years ago
In a certain Algebra 2 class of 25 students, 13 of them play basketball and 11 of them play baseball. There are 4 students who p
Flauer [41]

Answer:

\frac{4}{5}

Step-by-step explanation:

Given: There are 2 classes of 25 students.

            13 play basketball

            11 play baseball.

            4 play neither of sports.

Lets assume basketball as "a" and baseball as "b".

We know, probablity dependent formula; P(a∪b)= P(a)+P(b)-p(a∩b)

As given total number of student is 25

Now, subtituting the values in the formula.

⇒P(a∪b)= \frac{13}{25} +\frac{11}{25} -\frac{4}{25}

taking LCD as 25 to solve.

⇒P(a∪b)= \frac{13\times 1+11\times 1-4\times 1}{25} = \frac{20}{25}

∴ P(a∪b)= \frac{4}{5}

Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is \frac{4}{5}.

6 0
4 years ago
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